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Searching for New Nontrivial Choreographies for the Planar Three-Body Problem

Searching for New Nontrivial Choreographies for the Planar Three-Body Problem

Hristov, I., Hristova, R., Puzynin, I., Puzynina, T., Sharipov, Z., Tukhliev, Z.

A specialized numerical search for new nontrivial choreographies for the planar three-body problem is made. With only three known so far nontrivial choreographies, we found 161 new ones. The linear stability of all found orbits is investigated by a high precision computing of the eigenvalues of the monodromy matrices.

DOI: 10.1134/S1063779624030444.